Zou Zhixing, Wang Jiao
Department of Physics and Key Laboratory of Low Dimensional Condensed Matter Physics (Department of Education of Fujian Province), Xiamen University, Xiamen 361005, China.
Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China.
Entropy (Basel). 2022 Aug 9;24(8):1092. doi: 10.3390/e24081092.
The kicked rotor and the kicked top are two paradigms of quantum chaos. The notions of quantum resonance and the pseudoclassical limit, developed in the study of the kicked rotor, have revealed an intriguing and unconventional aspect of classical-quantum correspondence. Here, we show that, by extending these notions to the kicked top, its rich dynamical behavior can be appreciated more thoroughly; of special interest is the entanglement entropy. In particular, the periodic synchronization between systems subject to different kicking strength can be conveniently understood and elaborated from the pseudoclassical perspective. The applicability of the suggested general pseudoclassical theory to the kicked rotor is also discussed.
受驱转子和受驱陀螺是量子混沌的两个范例。在受驱转子研究中发展起来的量子共振和准经典极限概念，揭示了经典 - 量子对应中一个有趣且非传统的方面。在此，我们表明，通过将这些概念扩展到受驱陀螺，可以更全面地理解其丰富的动力学行为；特别令人感兴趣的是纠缠熵。具体而言，从准经典角度可以方便地理解和阐述受不同驱动强度作用的系统之间的周期性同步。还讨论了所提出的一般准经典理论对受驱转子的适用性。
